An effective Lagrangian approach for unstable particles

Details An effective Lagrangian approach for unstable particles An effective Lagrangian approach for unstable particles

1999-09-22

arxiv.org/abs/hep-ph/9909472v2

Nucl.Phys.B573:503-535,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages, LaTeX2e (uses axodraw.sty); Eq. (B.6) corrected, references added

Scientific paper

10.1016/S0550-3213(00)00030-4

We propose a novel procedure for handling processes that involve unstable intermediate particles. By using gauge-invariant effective Lagrangians it is possible to perform a gauge-invariant resummation of (arbitrary) self-energy effects. For instance, gauge-invariant tree-level amplitudes can be constructed with the decay widths of the unstable particles properly included in the propagators. In these tree-level amplitudes modified vertices are used, which contain extra gauge-restoring terms prescribed by the effective Lagrangians. We discuss the treatment of the phenomenologically important unstable particles, like the top-quark, the $W$- and $Z$-bosons, and the Higgs-boson, and derive the relevant modified Feynman rules explicitly.

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